Lefschetz’s principle and local functors
HTML articles powered by AMS MathViewer
- by Paul C. Eklof PDF
- Proc. Amer. Math. Soc. 37 (1973), 333-339 Request permission
Abstract:
The notion of an $\omega$-local functor is used to formulate and prove a theorem which is claimed to encompass Lefschetz’s principle in algebraic geometry.References
- Jon Barwise, Back and forth through infinitary logic, Studies in model theory, MAA Studies in Math., Vol. 8, Math. Assoc. Amer., Buffalo, N.Y., 1973, pp. 5–34. MR 0342370
- J. Barwise and P. Eklof, Lefschetz’s principle, J. Algebra 13 (1969), 554–570. MR 260583, DOI 10.1016/0021-8693(69)90117-3
- Solomon Feferman, Infinitary properties, local functors, and systems of ordinal functions, Conference in Mathematical Logic—London ’70 (Proc. Conf., Bedford Coll., London, 1970) Lecture Notes in Math., Vol. 255, Springer, Berlin, 1972, pp. 63–97. MR 0360196
- Barry Mitchell, Theory of categories, Pure and Applied Mathematics, Vol. XVII, Academic Press, New York-London, 1965. MR 0202787
- A. Seidenberg, Comments on Lefschetz’s principle, Amer. Math. Monthly 65 (1958), 685–690. MR 98746, DOI 10.2307/2308709
- André Weil, Foundations of algebraic geometry, American Mathematical Society, Providence, R.I., 1962. MR 0144898
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 37 (1973), 333-339
- MSC: Primary 02H15; Secondary 14A25
- DOI: https://doi.org/10.1090/S0002-9939-1973-0325389-7
- MathSciNet review: 0325389